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Finding the Fourth Proportional to 9,527.16, 14,264.33 and 7,180.06

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Solution

The fourth proportional to 9,527.16, 14,264.33 and 7,180.06 is: 10,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.16 : 14,264.33 = 7,180.06 : x
  2. Step 2: Convert to fraction form
    9,527.16/14,264.33 = 7,180.06/x
  3. Step 3: Cross multiply
    9,527.16x = 14,264.33 × 7,180.06
  4. Step 4: Simplify right side
    9,527.16x = 102,418,745.26
  5. Step 5: Solve for x
    x = 102,418,745.26/9,527.16
  6. Step 6: Final answer
    x = 10,750.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.